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Ratios vs Fractions

Exercises on the language of ratios and calculations involving fractions and linear functions.

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This is level 2: questions without pictures (cancelling required). You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

Type in fractions using a forward slash like this 3/8 for three eighths.  Give ratios and fractions in their lowest terms.

Nicky drank 8 glasses of orange juice and 6 glasses of pineapple juice last week.

1

What is the ratio of orange to pineapple glasses drunk?

2

What fraction of the glasses that Nicky drank were orange?

3

What fraction of the glasses that Nicky drank were pineapple?

There were 12 seagulls and 15 doves in a tree on one fine, sunny morning.

4

What is the ratio of seagulls to doves in that tree?

5

What fraction of the birds in the tree were doves?

6

What fraction of the birds in the tree were seagulls?

At a recent football match there were 70000 supporters for the home team and 20000 supporters for the away team.

7

What is the ratio of home team supporters to away team supporters?

8

What fraction of the supporters were for the home team?

9

What fraction of the supporters were for the away team?

Austin went shopping yesterday. He spend £6.00 on a book and £4.50 on a shirt.

10

What is the ratio of prices of the book and the shirt that Austin bought?

11

What fraction of the money Austin spent was used to pay for the shirt?

12

What fraction of the money Austin spent was used to pay for the book?

Check

This is Ratios vs Fractions level 2. You can also try:
Level 1 Level 3 Level 4

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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Description of Levels

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Ratio - Try this exercise first if you are unsure about ratio

Fractions - Try this exercise first if you are unsure about fractions

Level 1 - Questions with pictures (no cancelling required)

Level 2 - Questions without pictures (cancelling required)

Level 3 - Miscellaneous Questions

Level 4 - Graphs of linear functions describing ratios

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Help Video For Basic Ratio

This video was made for the basic Ratio exercise. If you are unsure abour ratios or fractions you may want to try the following exercises first:

Ratio   Fractions

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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